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math.ST2021
Simultaneous best linear invariant prediction of future order statistics for location-scale and scale families and associated optimality properties
Narayanaswamy Balakrishnan, Ritwik Bhattacharya
In this article, we first derive an explicit expression for the marginal best linear invariant predictor (BLIP) of an unobserved future order statistic based on a set of early obse…
math.ST2021
An Identity for Expectations and Characteristic Function of Matrix Variate Skew-normalDistribution with Applications to Associated Stochastic Orderings
Tong Pu, Narayanaswamy Balakrishnan, Chuancun Yin
We establish an identity for E f (Y) -E f (X), when X and Y both have matrix variateskew-normal distributions and the function f fulfills some weak conditions. Thecharacteristic fu…